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Finding the Third Proportional to 33,850 and 52,703

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Solution

The third proportional to 33,850 and 52,703 is: 82,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,850 : 52,703 = 52,703 : x
  2. Step 2: Convert to fraction form
    33,850/52,703 = 52,703/x
  3. Step 3: Cross multiply
    33,850x = 52,703 × 52,703
  4. Step 4: Simplify right side
    33,850x = 2,777,606,209
  5. Step 5: Solve for x
    x = 2,777,606,209/33,850
  6. Step 6: Final answer
    x = 82,056.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.